Functions¶

A¶

• function autocorrelate(const univector<T, Tag1> &) Computes the auto-correlation of a real or complex signal.

C¶

• function convolve(const univector<T1, Tag1> &, const univector<T2, Tag2> &) Computes the linear convolution of two real or complex signals.
• function correlate(const univector<T1, Tag1> &, const univector<T2, Tag2> &) Computes the linear correlation of two real or complex signals.

D¶

• function dft(const univector<complex<T>, Tag> &) Performs the direct (forward) complex DFT using a cached plan.

F¶

• function fft_multiply_accumulate(univector<complex<T>, Tag1> &, const univector<complex<T>, Tag2> &, const univector<complex<T>, Tag3> &, const univector<complex<T>, Tag4> &, dft_pack_format) Multiply-accumulate of two spectra with an addend into a destination.
• function fft_multiply_accumulate(univector<complex<T>, Tag1> &, const univector<complex<T>, Tag2> &, const univector<complex<T>, Tag3> &, dft_pack_format) Multiply-accumulate of two spectra into a destination.
• function fft_multiply(univector<complex<T>, Tag1> &, const univector<complex<T>, Tag2> &, const univector<complex<T>, Tag3> &, dft_pack_format) Element-wise multiplication of two spectra (convolution in time domain).

I¶

• function idft(const univector<complex<T>, Tag> &) Performs the inverse complex DFT using a cached plan.
• function irealdft(const univector<complex<T>, Tag> &) Performs the inverse complex-to-real DFT using a cached plan.

L¶

• function library_version_dft() Returns the full version string of the KFR DFT module.

N¶

• function ngfft_execute(const ngfft_plan<T> &, bool, complex<T> *, const complex<T> *, dft_algorithm) Executes the FFT with separate input and output buffers, runtime direction and algorithm.
• function ngfft_execute(const ngfft_plan<T> &, bool, complex<T> *, dft_algorithm) Executes the FFT in-place with runtime direction and algorithm.
• function ngfft_execute(const ngfft_plan<T> &, cbool_t<inverse>, complex<T> *, const complex<T> *, dft_algorithm) Executes the FFT with separate input and output buffers, a compile-time direction and runtime algorithm.
• function ngfft_execute(const ngfft_plan<T> &, cbool_t<inverse>, complex<T> *, dft_algorithm) Executes the FFT in-place with a compile-time direction and runtime algorithm.
• function ngfft_initialize(ngfft_plan<T> &, dft_algorithm) Initializes the plan's twiddles for a runtime algorithm value.
• function ngfft_real_execute(const ngfft_plan<T> &, complex<T> *, const T *, dft_algorithm) Executes the forward real-to-complex FFT with a runtime algorithm.
• function ngfft_real_execute(const ngfft_plan<T> &, T *, const complex<T> *, dft_algorithm) Executes the inverse complex-to-real FFT with a runtime algorithm.
• function ngfft_twiddle_count(ngfft_plan<T> &, dft_algorithm) Returns the twiddle-factor count for a runtime algorithm value.

R¶

• function realdft(const univector<T, Tag> &) Performs the direct (forward) real-to-complex DFT using a cached plan.
• function reference_dft_md(complex<T> *, const complex<T> *, shape<dynamic_shape>, bool, size_t, size_t) Performs Multidimensional Complex DFT using reference implementation (slow, used for testing)
• function reference_dft_md(complex<T> *, const T *, shape<dynamic_shape>, bool, size_t, size_t) Performs Multidimensional Direct Real DFT using reference implementation (slow, used for testing)
• function reference_dft_md(T *, const complex<T> *, shape<dynamic_shape>, bool, size_t, size_t) Performs Multidimensional Inverse Real DFT using reference implementation (slow, used for testing)
• function reference_dft(complex<T> *, const complex<T> *, size_t, bool, size_t, size_t) Performs Complex DFT using reference implementation (slow, used for testing)
• function reference_dft(complex<T> *, const T *, size_t, size_t, size_t) Performs Direct Real DFT using reference implementation (slow, used for testing)
• function reference_dft(T *, const complex<T> *, size_t, size_t, size_t) Performs Inverse Real DFT using reference implementation (slow, used for testing)